Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Find the prime factorization of number 996.

Answer

The prime factorization of 996 is:

$$ 996 = 2\cdot2\cdot3\cdot83 $$

Which is the same as :

$$ 996 = 2^{2}\cdot3\cdot83 $$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

996 can be written as 2 × 498.
  • 996
    • 2
    • 498
498 can be written as 2 × 249.
  • 996
    • 2
    • 498
      • 249
      • 2
249 can be written as 3 × 83.
  • 996
    • 2
    • 498
      • 249
        • 3
        • 83
      • 2
The end nodes are the prime factors of the number 996.
  • 996
    • 2
    • 498
      • 249
        • 3
        • 83
      • 2
This page was created using
Prime factorization calculator